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Finding the Fourth Proportional to 472,420.79, 708,422.70 and 135,384.95

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Solution

The fourth proportional to 472,420.79, 708,422.70 and 135,384.95 is: 203,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,420.79 : 708,422.70 = 135,384.95 : x
  2. Step 2: Convert to fraction form
    472,420.79/708,422.70 = 135,384.95/x
  3. Step 3: Cross multiply
    472,420.79x = 708,422.70 × 135,384.95
  4. Step 4: Simplify right side
    472,420.79x = 95,909,767,599.33
  5. Step 5: Solve for x
    x = 95,909,767,599.33/472,420.79
  6. Step 6: Final answer
    x = 203,017.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.